Answer: $2.50
Step-by-step explanation: divide 10 and 4 because there are 4 quarts in a gallon.
Answer:
Median
Step-by-step explanation:
This set of data has an extreme outlier, which will throw off the mean. The median, on the other hand, does not change or changes minimally whether or not the outlier is there.
By default, the mean is always better, but if an outlier, such as this one, is too large, the median is better.
Answer:
Emily has 12 dimes and 8 nickels.
Step-by-step explanation:
Emily has a total of 20 coins.
Let d be the number of dimes she has and n the number of nickels:
![d + n = 20\\d= 20 - n](https://tex.z-dn.net/?f=d%20%2B%20n%20%3D%2020%5C%5Cd%3D%2020%20-%20n)
Dimes are worth 10 cents and nickels are worth 5 cents, therefore the amount she has and what she would have if the dimes were nickels and nickels were dimes are, respectively:
![d*10 + n*5\\d*5 + n*10](https://tex.z-dn.net/?f=d%2A10%20%2B%20n%2A5%5C%5Cd%2A5%20%2B%20n%2A10)
Since she would have 20 cents less in the second option, the following equation can be written:
![d*10 + n*5 = d*5 + n*10 + 20\\5(20-n) - 5n = 20](https://tex.z-dn.net/?f=d%2A10%20%2B%20n%2A5%20%3D%20d%2A5%20%2B%20n%2A10%20%2B%2020%5C%5C5%2820-n%29%20-%205n%20%3D%2020)
Substituting (d = 20 - n) into this equation yields:
![5(20-n) - 5n = 20\\10n=80\\n=8\\d=20 - 8\\d = 12](https://tex.z-dn.net/?f=5%2820-n%29%20-%205n%20%3D%2020%5C%5C10n%3D80%5C%5Cn%3D8%5C%5Cd%3D20%20-%208%5C%5Cd%20%3D%2012)
Emily has 12 dimes and 8 nickels.
Answer:
8.7
Step-by-step explanation:
6*1.45=8.7
<span>Standard form: 91,553,764 = 9.1553764 x 10^7
</span>Expanded form: 91,553,764 = 90,000,000 + 1,000,000 + 500,000 + 50,000 + 3,000 + 700 + 60 + 4
Word form: Ninety one million, five hundred and fifty three thousand, seven hundred and sixty four.